A number on being divided by 8 and 9 successively leaves the remainders 5 and 7 respectively.
Find the remainder when the same number is divided by 72.
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Answered by
4
Step-by-step explanation:
the correct number is 22
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0
Answer:
Step-by-step explanation:
Let N be the number.
-> N = 8a + 5 = 5 , 13, 21, 29, 37, 45 , 53, 61, 69, …….
-> N = 9b + 7= 7, 16, 25, 34, 43, 52, 61, 70, 79…….
->N = 72c + 61 = 61, 133, 205……..
Least value of N = 61.
Values of N satisfying the condition = LCM ( 8,9,72) k + 61.
=> N = 72 * k + 61.
There are many solutions for N.
Least value of N = 61.
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